INGE LEHMANN DISCOVERED EARTH'S INNER CORE IN HER FREE TIME
She struggled with prejudice and lack of opportunities as a woman in science. But she persisted and ultimately revolutionised our knowledge of Earth.

On a summer’s day in 1932, Inge Lehmann embarks on the journey of a lifetime. The 44-year-old usually spends her summer holidays sweating on Europe's steep mountain sides. But this summer, she's not going anywhere.

She is at her desk in her small, whitewashed cottage on a hilltop in Holte outside Copenhagen, surrounded by maps and cardboard boxes filled with documents. Each box contains data about arrival times and wave strengths from an earthquake at a specific location. One box with data from Tokyo, one from Vienna, one from London.

Slowly but surely, Inge Lehmann follows the earthquake waves through the many layers of Earth on a voyage of discovery into its burning inner core. 5,100 km beneath the surface of Earth, she discovers something no one else has seen before.

Gifted child

Inge Lehmann was born in May 1888 in a flat on Willemoesgade in Østerbro, Copenhagen. Her mother Ida was from a family of bookstore owners and members of the women's movement. Her father, Alfred, was an engineer and later founded psychology as a scholarly discipline in Denmark. Her parents believed that boys and girls should have the same education, so they sent Inge Lehmann and her younger sister, Harriet, to the progressive and liberal H. Adler Fællesskole, a co-educational institution located by Lake Sortedam in Copenhagen. Girls and boys are in the same class, and everyone learns to cook, saw wood, embroider and play football.

H. Adler's Co-Educational Fællesskole
H. Adler's Co-Educational Fællesskole. Photo: The Royal Library

Inge Lehmann was happy with her school days, and many years later she wrote:

No difference between boys’ and girls’ intellect was accepted, which was the cause of some disappointments later in life, when I had to realise that this was not the common perception.

At a school prom, Ida and Alfred Lehmann find their 11-year-old daughter together with some older boys, deeply engrossed in solving quadratic equations. Inge Lehmann is an exceptionally gifted child with a particular flair for mathematics. She is ambitious, serious and shy. She strongly believes in her abilities and dreams of becoming a scientist. Maybe because her schoolteachers inspire and challenge her.

Hanna Adler
The school was founded by Niels Bohr's aunt, Hanna Adler (pictured), who, as the first woman, together with Kirstine Meyer, earned a degree in physics from the University of Copenhagen. She hires several of her female co-graduates as teachers at her school, seeing that they often face limited career opportunities. Inge Lehmann is given extra work by her mathematics teacher, Thyra Eibe. She was the first woman to obtain a degree in mathematics from the University of Copenhagen. Photo: Julie Laurberg & Gad

However, her parents are concerned as to whether she can cope with the pressure and her high ambitions, whereas she feels that her parents are holding her back.

One could hardly expect them to understand that I could have been stronger if I hadn't been so bored at school.
Inge Lehmann with family
The Lehmanns are a sporty family. They love to hike and experience the world. Inge Lehmann's father even wrote a never-published manual introducing hiking as a phenomenon to the Danes. He writes about the many benefits of physical activity for body and mind, and how important good socks and plenty of cognac are for hiking. Inge Lehmann (on the left) hiking with her mother and younger sister. Photo: GEUS

The hardest and most prestigious education

At the age of 19, Inge Lehmann embarks on her mathematics studies at the University of Copenhagen, where she earns her bachelor's degree. She immensely longs to see the world and dreams of excelling. She goes to Cambridge to begin the Mathematics Tripos course, which is known as one of the most challenging and prestigious degrees in the world. The exams are so extensive and lengthy that students row, swim and run alongside their studies to enhance their stamina and intellect.

Inge Lehmann loves her new life in Cambridge, where she is making female friends for the first time. In a letter full of English expressions, she writes to her mother that it’s her:

"greatest wish in the world" to remain in Cambridge "forever!"

Even though women have had access to the lectures on the course for 30 years, they still do not have access to the study facilities when Inge Lehmann arrives. Women are not permitted in the libraries or laboratories, where individual supervision and exercises take place. Inge Lehmann is ambitious, and perhaps also under financial pressure, so she plans to complete the course in one and a half years, even if the norm is three to four years. She is working overtime.

After a year of intensive studying, Inge Lehmann begins to suffer stomach pains. She has difficulty concentrating on her studies, her hair is falling out and she sleeps poorly at night. In the end, she cannot get out of bed, and she does not sit the exam.

Tired and burnt out, Inge Lehmann goes home to Denmark for Christmas, but she is determined to return to Cambridge in the new year. Meanwhile, her father is so worried about whether she can handle the pressure that he, to Inge Lehmann's enormous frustration, refuses to finance the rest of her course.

Inge Lehmann's family has supported her for a long time, but they were probably also influenced by the widespread perception at the time that women could become ill from doing difficult intellectual work. Several prominent doctors believe that young women's fertility may be jeopardised if they study too much and exert themselves too hard.

No one knows precisely why Inge Lehmann was taken ill at Cambridge. Many of the first female academics experience similar breakdowns early in their careers. Perhaps because they are trying to overcompensate academically to show that they are just as capable as their male peers.

Inge Lehmann loves her new life in Cambridge, where she is making female friends for the first time. In a letter full of English expressions, she writes to her mother that it’s her:

"greatest wish in the world" to remain in Cambridge "forever!"

Even though women have had access to the lectures on the course for 30 years, they still do not have access to the study facilities when Inge Lehmann arrives. Women are not permitted in the libraries or laboratories, where individual supervision and exercises take place. Inge Lehmann is ambitious, and perhaps also under financial pressure, so she plans to complete the course in one and a half years, even if the norm is three to four years. She is working overtime.

After a year of intensive studying, Inge Lehmann begins to suffer stomach pains. She has difficulty concentrating on her studies, her hair is falling out and she sleeps poorly at night. In the end, she cannot get out of bed, and she does not sit the exam.

Tired and burnt out, Inge Lehmann goes home to Denmark for Christmas, but she is determined to return to Cambridge in the new year. Meanwhile, her father is so worried about whether she can handle the pressure that he, to Inge Lehmann's enormous frustration, refuses to finance the rest of her course.

Inge Lehmann's family has supported her for a long time, but they were probably also influenced by the widespread perception at the time that women could become ill from doing difficult intellectual work. Several prominent doctors believe that young women's fertility may be jeopardised if they study too much and exert themselves too hard.

No one knows precisely why Inge Lehmann was taken ill at Cambridge. Many of the first female academics experience similar breakdowns early in their careers. Perhaps because they are trying to overcompensate academically to show that they are just as capable as their male peers.

ostkort fra Cambridge
Postcard from Cambridge. Photo: Raphael Tuck & Sons. Wikimedia Commons

New opportunities

It will be no less than seven years before Inge Lehmann sets foot at a university again. She has spent the years calculating endless policies at an insurance company and has since moved out of her parents' home. But her job is tedious:

It was clear to me that the company would never choose a woman for a senior position when the old actuary's office fell vacant upon his retirement. When a man, whom I could not respect as my boss, was about to get the position, I quit.

When a long-time friend asks her to marry him around the same time, she accepts his proposal. She has, however, always been lukewarm about the idea of marrying him, and she has a quick change of heart. Without a job and husband, but full of renewed energy, 30-year-old Inge Lehmann decides to once again delve into geometry, trigonometry and differential calculus at university. Two years later, in 1920, she graduated with a degree in mathematics from the University of Copenhagen.

When a long-time friend asks her to marry him around the same time, she accepts his proposal. She has, however, always been lukewarm about the idea of marrying him, and she has a quick change of heart. Without a job and husband, but full of renewed energy, 30-year-old Inge Lehmann decides to once again delve into geometry, trigonometry and differential calculus at university. Two years later, in 1920, she graduated with a degree in mathematics from the University of Copenhagen.

Working as a secretary or research assistant is often the end position for many of the first female scientists. But Inge Lehmann tells Niels Erik Nørlund that she dreams of working in research. He is busy setting up seismographic stations in Denmark and Greenland, and a couple of years later, he hires 37-year-old Inge Lehmann as his assistant. It’s not mathematical work, but seismology relies heavily on mathematics, so she still benefits from her mathematical skills.

Inge Lehmann visiting the Ittoqqortootmitt (Scoresbysund) seismograph station around 1928
Inge Lehmann på besøg på Ittoqqortootmitt (Scoresbysund) seismografstation cirka 1928. Foto: Rigsarkivet

First glance

One day, Niels Erik Nørlund and a small group of men, full of expectation, go down to the basement to look at some large, newly arrived instruments they have ordered from abroad. Inge Lehmann is not invited, but she tags along anyway. After a while, the men give up trying to figure out how the instruments work and go back up. Inge Lehmann is curious about the instruments that reputedly can look into Earth's interior, so she stays in the basement and examines them more closely.

It wasn't quite simple, but when I had looked properly, I managed to figure out what to do. From that day forward, I worked with seismology.

The seismograph, as it’s called, consists of a heavy mass suspended from a spring. When Earth shakes, the suspended mass remains still while the frame around it moves. The movements are transferred to a piece of bromide paper – a seismogram. The stronger the quake, the greater the moves on the seismogram. Because it is known how quickly the waves travel through the Earth, seismologists can calculate the strength and location of an earthquake by comparing arrival time and wave strength at several locations.

A seismograph from Inge Lehmann's time.
A seismograph from Inge Lehmann's time. Photo: Casper Brogaard Højer. GEUS

Inge Lehmann's talent is obvious to Niels Erik Nørlund, and he sends her on a study trip around Europe, where she is given a crash course in seismology from some of the world's leading seismologists. Back home, she sits the exam and obtains an extended master’s degree in geodesy – a newly established discipline on the shape and size of Earth and celestial bodies.


An original seismogram.
An original seismogram. Photo: GEUS

Niels Erik Nørlund appoints Inge Lehmann head of the seismic department at the newly established Geodetic Institute, where she oversees operations at the seismic measurement stations in Denmark and Greenland.

Inge Lehmann is delighted with her new job and writes to Niels Erik Nørlund:

I was concerned if I was asking too much by not settling for a job just to earn a living, but instead wanted a job that really interested me. In this job, I have (...) found more than I could have ever hoped for.

However, slowly, it dawns on her that her colleagues are not so keen on having a woman as their boss:

I clearly remember that when I understood seismology, I decided to work in science to prove my worth. If I had any spare time from my tasks, I would study seismology and conduct scientific research.

Research is not part of Inge Lehmann's job, so she spends her evenings, weekends and holidays working with seismic measurements.

She doesn't know it yet, but she is stumbling close to making the discovery of her life and adding one of the last pieces of the puzzle of understanding Earth's interior.

Shakes near Copenhagen

It’s a little past ten in the morning on 17 June 1929 when the ground begins to move in a sparsely populated mountainous area on New Zealand's South Island. Several square kilometres of land rise five metres into the air. Deep cracks form in the mountains, a river twists, roads are blocked by large stones and houses collapse. Beneath the New Zealand surface, the shakes spread rapidly like waves through stone, iron and nickel. Fifteen minutes later, a seismograph in Rødovre, Denmark, on the other side of Earth begins to move.

Devastation after the earthquake in Murchison, New Zealand, in 1929.
Devastation after the earthquake in Murchison, New Zealand, in 1929. Photo: F N Jones, Nelson Provincial Museum

An earthquake triggers different types of waves, including P-waves and S-waves. The fast P-waves make their way through Earth like pressure waves through a spring, and the slightly slower S-waves make Earth move like a skipping rope..

If an earthquake hit the North Pole, the S-waves would be seen on seismographs across the entire Northern Hemisphere but would stop around the Equator. In 1926, this led seismologists to conclude that Earth must have a liquid inner core. As they cannot travel through liquids, the S-waves that hit the liquid core do not get to the other side of the core. In contrast, the P-waves can travel through liquids, but when they hit the liquid core, they change direction like light waves hitting a mirror. On both sides of Earth, there are areas where the P-waves never arrive – so-called shadow zones.

Ødelæggelser efter jordskælvet i Murchison i New Zealand i 1929
Photo: F N Jones, Nelson Provincial Museum

After the earthquake in New Zealand, Inge Lehmann discovers something curious: Several seismographs in Europe have registered a few P-waves from the quake, even though they are in the shadow zone. She closely studies multiple seismograms from different locations to map the path of P-waves through Earth's interior. And then she has an idea: When the P-waves from the earthquake travel through Earth's liquid core, some of them hit another core. A hard core that deflects the waves and sends them to the shadow zone, where they otherwise should not arrive.

Illustration af jordens indre
In Inge Lehmann's time, P-waves and S-waves were observed after an earthquake, as shown here. The dotted lines show the P-waves that Inge Lehmann interpreted as evidence that there had to be an inner core deep within Earth, which deflected certain P-waves and sent them into the area where they would otherwise not have arrived.
Graphics: Frans Wej Petersen

Inge Lehmann has done her groundwork and is confident that her calculations are correct. She writes to her good friend and colleague in England, Harold Jeffreys, who, a few years earlier, discovered Earth's liquid core. She criticises his work and that of Beno Gutenberg and Charles Francis Richter (who developed the Richter scale, which is still used to measure the strength of earthquakes) for not being thorough and patient enough:

If I’m right, and I know I am, it seems that they have overlooked the most important part.

Inge Lehmann is not the only one who is puzzled by the P-waves in the shadow zone, but unlike the others, she is convinced that it’s not just due to errors in the seismographs she helped install. She insists on reading the seismograms herself, and she knows how to tell tiny blobs from wave oscillations on the black paper strips. Inge Lehmann's brain is like a human computer, phenomenal at organising data, crunching numbers, and finding connections between small, displaced seismic events and refracted waves.

Pages from an article
Based on her work, Inge Lehmann wrote the article P’, published in 1936. P' is the name of the P-waves that have been refracted by the core and arrived in the shadow zone. At the earthquake in New Zealand in 1929, P-waves could be registered on seismograms from Sverdlovsk, Baku and Irkutsk, even though they were in the shadow zone of the quake.

She has made a groundbreaking discovery that enhances our understanding of the Earth's interior. But her life goes on as if nothing had happened. It will be 16 years before Inge Lehmann's life takes a new direction.

American recognition

On a spring morning in 1952, 64-year-old Inge Lehmann takes a couple of heavy suitcases onboard and settles into the American military aircraft that has come to take her across the Atlantic. She spends the next three months at the Lamont Geological Observatory at Columbia University, where, along with American geophysicist Maurice Ewing and a small team of the world's leading earthquake experts, she works to develop a kind of seismic espionage.

Probably a passport photo of Inge Lehmann.
Probably a passport photo of Inge Lehmann. Photo: GEUS

Inge Lehmann has been headhunted by the Americans, who need the Danish earthquake expert to help detect secret nuclear explosions. Like earthquakes, nuclear test explosions send shakes through the Earth's interior that can be registered on seismograms. By comparing data from multiple locations, it’s possible to determine the location and strength of the explosion. Suddenly, seismology has gained significant political attention.

Inge Lehmann retires from the Geodetic Institute in Denmark to focus on her American research adventure:

Retiring was a shock, but I recovered quickly. The important thing is not to waste time or be engrossed in gardening.

Inge Lehmann has been headhunted by the Americans, who need the Danish earthquake expert to help detect secret nuclear explosions. Like earthquakes, nuclear test explosions send shakes through the Earth's interior that can be registered on seismograms. By comparing data from multiple locations, it’s possible to determine the location and strength of the explosion. Suddenly, seismology has gained significant political attention.

Inge Lehmann retires from the Geodetic Institute in Denmark to focus on her American research adventure:

Retiring was a shock, but I recovered quickly. The important thing is not to waste time or be engrossed in gardening.

Inge Lehmann certainly does not waste time in the next 20 years, her most active research period. She crosses the Atlantic many times and spends long periods doing research at Columbia University, the University of California and Berkeley University, among others.

She especially feels at home at the Lamont Geological Observatory just north of New York City, where she resides in a small guesthouse during her stays. Every morning, she puts on her hiking boots and goes walking in the surrounding forests before the day's work. During one of her stays, she paints the kitchen in the guesthouse because it looks a bit worn.

It’s probably the first time in Inge Lehmann's life that she truly feels free and recognised for her work. The quiet and shy woman has finally become part of an academic community and formed close friendships, something that was missing from her previous life.

Farewell party for Inge Lehmann in 1954 at Lamont Geological Observatoryy
Farewell party for Inge Lehmann in 1954 at Lamont Geological Observatory after one of her research stays. Photo: GEUS

World fame 25 years delayed

In 1961, computers calculated that Earth's inner core is solid and has a radius of 1,200 km. Inge Lehmann's 25-year-old theory was confirmed, and the news about the woman who discovered Earth's inner core quickly spread around the world. In the ensuing years, Inge Lehmann gets the credit she is due. She receives a host of awards and prizes for her work, including the Bowie Medal, the highest award in geophysics in the US. Columbia University and the University of Copenhagen also award her an honorary doctorate.

Inge Lehmann is honoured for her unique ability to see even the tiniest wave oscillations and spot seismic correlations in large data volumes. In her early 80s, her vision begins to fail her. After two decades of glory, she finally retires.

Inge Lehman in 1964
In 1964, Inge Lehmann (far left) was awarded an honorary doctorate at Columbia University, where she had conducted research for several years. She never obtained a PhD or a professorship. Photo: GEUS

Inge Lehmann arrived at her centenary celebration in high spirits and a colourful shirt. Her vision is weakened, and she has to lean on a stick, but she can still deliver a couple of quick remarks to her former colleagues.

Friends and colleagues from around the world have come to celebrate her long life. The speeches are recorded, and Inge Lehmann often sits in her flat in Copenhagen, listening to the speeches that cherish her remarkable life and research career.

Inge Lehmann
Foto: GEUS

After 104 years, Inge Lehmann is ready for the final full stop. From a hospital bed, she tells her nephew:

I’ve been thinking about my life. It has been long, rich and fulfilling with many victories and many good memories.

She died on 21 February 1993 and is buried in Hørsholm Cemetery in a modest grave next to her father.

Inge Lehmann dedicated her life to research and fundamentally changed our perception of the Earth's interior. Many theories had attempted to explain what lies beneath the surface of Earth: A hard stone ball, a cavity with a glowing core or a globe that slowly shrinks and forms mountain ranges on the surface. Inge Lehmann put an end to the speculation with her groundbreaking discovery of the inner solid core. She was persistent, thorough and insisted on doing things her way – and she knew she was right.

Text and research: Amalie Hyllested
Graphics and code: Frans Wej Petersen
Translation: Hanne von Wowern

Sources:

Interview with Lif Lund Jacobsen (Arctic Institute) and Trine Dahl-Jensen (GEUS)

- Skyggezone: A biography of Inge Lehmann, the woman who discovered Earth's inner core by Hanne Strager

- Inge Lehmann – seismologiens pionér by Lif Lund Jacobsen

- Seismology in the Days of Old by Inge Lehmann

- Memorial Essay: Inge Lehmann (1888-1993) by Bruce A. Bolt and Erik Hjortenberg

- Kongerigets glemte Inge by Gunver Lystbæk Vestergård and Lif Lund Jacobsen

- Inge Lehmann – Studietid og tidlige akademiske ansættelser 1907-1928 by Lif Lund Jacobsen

- Intellectually gifted but inherently fragile – society’s view of female scientists as experienced by seismologist Inge Lehmann up to 1930 by Lif Lund Jacobsen